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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2509.12564 |
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| _version_ | 1866914184249212928 |
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| author | Zhang, Liang |
| author_facet | Zhang, Liang |
| contents | Recently, \cite{Cao:2025hio} demonstrated the $2$-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of hidden zeros, where the form factors vanish on specific kinematic loci. We first establish these zeros and a new zero for the form factors of the composite operators ${\cal O} =\frac{1}{2}\Tr((\partial ϕ)^2) + \Tr(ϕ^3)$ and ${\cal O} = \Tr(F^2)$, and then employ an inductive proof based on the BCFW recursion relation to prove the $2$-split factorization for any number of external particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12564 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $2$-Split of Form Factors via BCFW Recursion Relation Zhang, Liang High Energy Physics - Theory Recently, \cite{Cao:2025hio} demonstrated the $2$-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of hidden zeros, where the form factors vanish on specific kinematic loci. We first establish these zeros and a new zero for the form factors of the composite operators ${\cal O} =\frac{1}{2}\Tr((\partial ϕ)^2) + \Tr(ϕ^3)$ and ${\cal O} = \Tr(F^2)$, and then employ an inductive proof based on the BCFW recursion relation to prove the $2$-split factorization for any number of external particles. |
| title | $2$-Split of Form Factors via BCFW Recursion Relation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.12564 |